Global Journal of Pure and Applied Mathematics
  • Year: 2007
  • Volume: 3
  • Issue: 1

Pseudo Almost Periodic Mild Solutions of Retarded Functional Differential Equations

  • Author:
  • D. Bahuguna, S. Abbas
  • Total Page Count: 10
  • Page Number: 27 to 36

Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208 016, India.

AMS Subject Classification: 42A75, 35K90, 47H20.

Abstract

In this paper we use the theory of semigroup of bounded linear operators in a com plex Banach space to establish the existence and uniqueness of a pseudo almost periodic mild solution of a retarded functional differential equation.

Keywords

Pseudo almost periodic functions, almost periodic functions, exponentially stable evolution operator